3683727 has 24 divisors (see below), whose sum is σ = 5569200. Its totient is φ = 2344320.

The previous prime is 3683723. The next prime is 3683731. The reversal of 3683727 is 7273863.

It is an interprime number because it is at equal distance from previous prime (3683723) and next prime (3683731).

It is not a de Polignac number, because 3683727 - 2² = 3683723 is a prime.

It is a super-2 number, since 2×3683727² = 27139689221058, which contains 22 as substring.

3683727 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 3683691 and 3683700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3683723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24649 + ... + 24797.

It is an arithmetic number, because the mean of its divisors is an integer number (232050).

Almost surely, 2^3683727 is an apocalyptic number.

3683727 is a deficient number, since it is larger than the sum of its proper divisors (1885473).

3683727 is a wasteful number, since it uses less digits than its factorization.

3683727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 260 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3683727 is about 1919.3037800202. The cubic root of 3683727 is about 154.4409552241.

It can be divided in two parts, 36837 and 27, that added together give a square (36864 = 192²).

The spelling of 3683727 in words is "three million, six hundred eighty-three thousand, seven hundred twenty-seven".